\hfill \hfill } %} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}{Exercise} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[1][Proof]{\noindent\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \input{tcilatex} \geometry{left=0.6in,right=0.7in,top=0.7in,bottom=0.7in} \pagestyle{fancy} \lhead{\color{blue} } \chead{\color{black} \LARGE Are you ready for calculus? - Answers} \rhead{\large page \ \thepage} \cfoot{} \lfoot{\small } \textwidth 7.0in \textheight 9.4in \setlength{\headheight}{25pt} \setlength{\parindent}{0in} \begin{document} \begin{enumerate} \item a) \ $\dfrac{x\left( x+3\right) }{x-4}$ \ \ \ \ \ \ b) \ $\dfrac{x-4}{% x\left( x-1\right) }$ \ \ \ \ \ \ c) \ $\dfrac{5x}{x+5}$ \ \ \ \ \ \ d) $% \dfrac{3x-1}{x}$ \item a) \ $2\left( \sqrt{3}-\sqrt{2}\right) $ \ \ \ \ \ \ b) \ $-1-\sqrt{5}$ \item a) \ $8a^{6}b^{-1}$ \ \ \ \ b) \ $3a^{\tfrac{1}{2}}b^{\tfrac{3}{2}}$ \ \ \ c) \ $\dfrac{2}{3}a^{2}b^{-1}$ \ \ \ \ d) \ $ab^{-1}$ \ \ \ \ e) $\ a^{-% \tfrac{3}{2}}b$ \ \ \ \ f) \ $a^{\tfrac{5}{6}}b^{\tfrac{1}{2}}$ \item a) \ $1$ \ \ \ \ \ b) \ $-\dfrac{3}{2}$ \ \ \ \ \ c) \ $8$ \ \ \ \ \ d) \ $\pm \dfrac{4}{25}$ \item a) $\log _{2}\left( 5\left( x+1\right) \right) $ \ \ \ \ \ \ \ \ b) \ $% 25$ \ \ \ \ \ \ \ \ \ c) \ $\log _{2}3$ \item a) \ $\dfrac{1}{2}$ \ \ \ \ b) \ $-x$ \ \ \ c) \ $2\log _{10}x$ \item a) \ $\dfrac{bcx}{bc-cy-bz}$\ \ \ \ b) \ $\dfrac{S-2bc}{2\left( b+c\right) }$ \ \ c) \ $\dfrac{-\pi h+\sqrt{\pi ^{2}h^{2}+2A\pi }}{2\pi }$ \ \ d) \ $\dfrac{A}{nr+1}$ \ \ \ e) \ $\dfrac{2x-y}{x+2y}$ \ \ \ f) \ $\dfrac{% \pi }{\pi -1}$ \item a) \ $\left( -2,-1\right) $ \ \ \ \ b) \ $\left( -\dfrac{1}{2},\dfrac{3% }{8}\right) $ \ \ \ c) \ $\left( -10,\dfrac{1}{3}\right) $ \item a) \ $-4,0,4$ \ \ \ \ \ \ \ b) \ $-\dfrac{5}{2},\dfrac{5}{2},2$ \ \ \ \ \ \ \ c) \ $-\dfrac{3}{2}$ \ \ \ \ \ d) \ $-1,1$ \item a) \ $\dfrac{-3\pm \sqrt{6}}{2}$ \ \ \ \ \ \ b) \ $-3,\dfrac{1}{2}$ \ \ \ \ \ \ c) \ $-\dfrac{1}{2}$ \item a) \ $-89$ \ \ \ \ \ \ \ b) \ $x^{2}+3$ \item $-\dfrac{1}{3},\dfrac{1}{4},2$ \item a) $-3\leq x\leq 1$ \ \ \ \ \ \ \ b) \ $x<\dfrac{2}{3}$ \ or \ $x>1$ \ \ \ \ \ \ \ \ c) \ all $x$ \item a) \ $-\dfrac{6}{5},2$ \ \ \ \ \ \ \ \ \ \ b) \ $-\dfrac{4}{3},2$ \item a) \ $7x+3y=2$ \ \ \ \ \ \ b) \ $3x+2y=1$ \ \ \ \ \ c) \ $y=3$ \item a) \ $\left( 2,-1\right) $ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \FRAME{itbpF}{2.3895in}{% 2.4016in}{0in}{}{}{insert3.bmp}{\special{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio TRUE;display "USEDEF";valid_file "F";width 2.3895in;height 2.4016in;depth 0in;original-width 12.7603in;original-height 12.8226in;cropleft "0";croptop "1";cropright "1";cropbottom "0";filename 'insert3.bmp';file-properties "XNPEU";}} \item a) $C\left( -3,2\right) $ \ $r=\sqrt{10}$ \ \ \ \ \ \ b) \ $x+3y=13$ \item a) $\ \left( x-1\right) ^{2}+\left( y-2\right) ^{2}=18$ \ \ \ \ \ \ b) \ $\left( x-\dfrac{1}{2}\right) ^{2}+\left( y-1\right) ^{2}=\dfrac{5}{4}$ \ \ \ \ \ \ \ c) \ $\left( x-5\right) ^{2}+\left( y-3\right) ^{2}=25$ \end{enumerate} \end{document}